# Using integration, find the area of the region bounded by the lines 2y=5x+7, the x-axis and the lines 2y=5x+7, the x-axis, and the lines x=2 and x=8.

Given the boundaries of the area to be found are,

• The line equation is 2y = 5x + 7

• The y= 0, x-axis

• x = 2 (a line parallel toy-axis)

• x = 8 (a line parallel toy-axis) As per the given boundaries,

• The line 2y = 5x + 7.

• x=2 is parallel toy-axis at 2 units away from the y-axis.

• x=8 is parallel toy-axis at 8 units away from the y-axis.

• y = 0, the x-axis.

• The four boundaries of the region to be found are,

Point A, where the line 2y = 5x + 7 and x=2 meet.

Point B, where the line 2y = 5x + 7and x=8 meet.

Point C, where the x-axis and x=8 meet i.e. C(8,0).

Point D, where the x-axis and x=2 meet i.e. D(2,0).

The line equation 2y = 5x + 7 can be written as, Area of the required region = Area of ABCD.   [Using the formula and ]  The Area of the required region = 96 sq. units.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Meselson and Stahl experiment49 mins  DNA Fingerprinting42 mins  NEET 2021 | Transcription - An important Topic62 mins  Microsporogenesis & Megasporogenesis49 mins  Interactive Quiz on Microbes in Human Welfare29 mins  Medelian disorder series: Thalassemia, Sickle cell anaemia & Phenylketonuria60 mins  Application of Biotechnology48 mins  Methods of contraception47 mins  Types of pollination61 mins  Theories of origin of life in one go41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 